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Finding the Fourth Proportional to 490.18, 676.15 and 313.32

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Solution

The fourth proportional to 490.18, 676.15 and 313.32 is: 432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.18 : 676.15 = 313.32 : x
  2. Step 2: Convert to fraction form
    490.18/676.15 = 313.32/x
  3. Step 3: Cross multiply
    490.18x = 676.15 × 313.32
  4. Step 4: Simplify right side
    490.18x = 211,849.27
  5. Step 5: Solve for x
    x = 211,849.27/490.18
  6. Step 6: Final answer
    x = 432.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.